Expansion of building-like complexes

Alexander Lubotzky; Roy Meshulam; Shahar Mozes

doi:10.4171/GGD/346

Expansion of building-like complexes

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

Following Gromov, the coboundary expansion of building-like complexes is studied. In particular, it is shown that for any n > 1, there exists a constant ε (n) > 0 such that for any 0 ≤ k < n the k-th coboundary expansion constant of any n-dimensional spherical building is at least α(n).

Original language	English
Pages (from-to)	155-175
Number of pages	21
Journal	Groups, Geometry, and Dynamics
Volume	10
Issue number	1
DOIs	https://doi.org/10.4171/GGD/346
State	Published - 2016

Keywords

High dimensional expansion
Spherical buildings

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10.4171/GGD/346

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title = "Expansion of building-like complexes",

abstract = "Following Gromov, the coboundary expansion of building-like complexes is studied. In particular, it is shown that for any n > 1, there exists a constant ε (n) > 0 such that for any 0 ≤ k < n the k-th coboundary expansion constant of any n-dimensional spherical building is at least α(n).",

keywords = "High dimensional expansion, Spherical buildings",

author = "Alexander Lubotzky and Roy Meshulam and Shahar Mozes",

year = "2016",

doi = "10.4171/GGD/346",

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AB - Following Gromov, the coboundary expansion of building-like complexes is studied. In particular, it is shown that for any n > 1, there exists a constant ε (n) > 0 such that for any 0 ≤ k < n the k-th coboundary expansion constant of any n-dimensional spherical building is at least α(n).

KW - High dimensional expansion

KW - Spherical buildings

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JO - Groups, Geometry, and Dynamics

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Expansion of building-like complexes

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